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Finding the Third Proportional to 71,464 and 113,262

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Solution

The third proportional to 71,464 and 113,262 is: 179,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464 : 113,262 = 113,262 : x
  2. Step 2: Convert to fraction form
    71,464/113,262 = 113,262/x
  3. Step 3: Cross multiply
    71,464x = 113,262 × 113,262
  4. Step 4: Simplify right side
    71,464x = 12,828,280,644
  5. Step 5: Solve for x
    x = 12,828,280,644/71,464
  6. Step 6: Final answer
    x = 179,506.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.